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Oxford University MAT 2017 Solved Papers

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Question : 8

Total: 10

In this question a and b are real numbers, and a is non-zero.
When the polynomial x2−2ax+a4 is divided by x+b the remainder is 1 .
The polynomial bx2+x+1 has ax−1 as a factor.
It follows that b equals

1 only
0 or −2
1 or 2
1 or 3
−1 or 2 .

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